{
  "id": "0705.1245",
  "version": "v2",
  "published": "2007-05-09T09:54:43.000Z",
  "updated": "2007-10-08T13:48:36.000Z",
  "title": "Microlocalization of rational Cherednik algebras",
  "authors": [
    "Masaki Kashiwara",
    "Raphael Rouquier"
  ],
  "comment": "36 pages, minor corrections, to appear in Duke Math. Journal",
  "categories": [
    "math.RT",
    "math.AG",
    "math.QA"
  ],
  "abstract": "We construct a microlocalization of the rational Cherednik algebras $H$ of type $S_n$. This is achieved by a quantization of the Hilbert scheme $\\Hilb^n\\C^2$ of $n$ points in $\\C^2$. We then prove the equivalence of the category of $H$-modules and the one of modules over its microlocalization under certain conditions on the parameter.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-10-08T13:48:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G89",
      "53D55",
      "14C05"
    ],
    "keywords": [
      "rational cherednik algebras",
      "microlocalization",
      "hilbert scheme",
      "equivalence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0705.1245K"
    }
  }
}